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OALib Journal期刊
ISSN: 2333-9721
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Killing Forms and Applications

Keywords: killing forms , semi-sample Algebra , solvable lie groups , lie algebra , lagrangians , Yang-mills equation , Euler-lagrange equation

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Abstract:

Characterizations of Semi-simple algebra were initiated by Cartan. In recent years, semi-simple Lie algebras have been characterized with the help of Killing forms. In this study we have made an attempt to define generalized killing forms and have applied these to the question of existence of Lagrangians in a physical system.

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